In infinite dilution,the equivalent conductances of $Ba^{2+}$ and $Cl^{-}$ are $127$ and $76 \ ohm^{-1} cm^2 eqv^{-1}$ respectively. The equivalent conductivity of $BaCl_2$ at infinite dilution is: (in $.5$)

The equivalent conductance of $NaCl$ at concentration $C$ and at infinite dilution are $\lambda_C$ and $\lambda_{\infty}$ respectively. The correct relationship between $\lambda_C$ and $\lambda_{\infty}$ is given as: (Where the constant $B$ is positive)

$A$ $5.0 \, mmol \, dm^{-3}$ aqueous solution of $KCl$ has a conductance of $0.55 \, mS$ when measured in a cell with a cell constant of $1.3 \, cm^{-1}$. The molar conductivity of this solution is ....... $mS \, m^{2} \, mol^{-1}$. (Round off to the Nearest Integer)

Specific conductance of $0.2 \ M$ electrolyte solution at $20 \ ^oC$ temperature is $2.48 \times 10^{-4} \ ohm^{-1} \ cm^{-1}$. The molar conductance of the solution will be ............ $ohm^{-1} \ cm^2 \ mol^{-1}$.

The unit of cell constant is

In a conductivity cell,the electrodes are separated by a distance of $2 \ cm$ and have a cross-sectional area of $4 \ cm^2$. If the conductivity of pure water is $8 \times 10^{-7} \ S \ cm^{-1}$,then the resistance of the water is: